The measures of the exterior angles of a triangle are 4x°, 5x°, and 6x°. Find the measure of the smallest exterior angle.

Answer 1

The sum of all the EXTERIOR angles in any polygon is 360 degrees.

Therefore: 4x+5x+6x=360

15x=360

x=24

The smallest, then, would be 4(24)= 96°.

I hope this helps!

Answer 2

Sum of exterior angles is 360°.

Solve for x.